I had the same thoughts, I have a T2 as well and was looking for a digital alternative. I came to the conclusion that a true replacement isn't fully available and it always felt like there was a compromise. Gaz has pretty much outlined the cameras that I found as alternatives above.
X100- No doubt excellent, nice camera with an optical viewfinder so can shoot in a similar manner to the T2. 23mm lens so similar field of view to the 38 on the T2 with f2 too for good measure. But for me, when I carry the T2 I want to just throw it in a pocket, so the X100 was out for that reason.
Sony RX1- Small, pocketable, viewfinder. All bonuses in my book, the lens is a zoom (different variations have different focal lengths) which wasn't a deal breaker for me and neither was the smaller sensor. I just haven't bitten the bullet yet as I'm undecided whether this is the best camera for me because of the next one
Ricoh GR- Small, pocketable, APS-C sensor, but no viewfinder, slightly wider lens too which again isn't a deal breaker. The original GR1 seems to get mentioned in similar conversations to the T2 as a "similar" kind of camera, and then the GR2/3 get mentioned as "similar" to the GR1 so in a way of rationalising it the T2 should be like the GR2/3, whether that's actually the case or not I don't know.
The truth is I couldn't find one camera that did absolutely everything I wanted, so I've been using the T2 still